Escape to Sudersand, a stretch of coastline on Fårö that feels more like the Caribbean than the Baltic. You'll find powder-fine white sand and clear shallow waters perfect for a refreshing dip. While it's a popular spot in the summer, the beach is so long that you can always find your own peaceful nook in the dunes to relax for the day.
I also recommend staying the night at the resort, great location right next to the beach, with restaurants, live music, movie nights and other happenings.